What is the Greatest Common Factor of 52629 and 52635?
Greatest common factor (GCF) of 52629 and 52635 is 3.
GCF(52629,52635) = 3
We will now calculate the prime factors of 52629 and 52635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52629 and 52635.
How to find the GCF of 52629 and 52635?
We will first find the prime factorization of 52629 and 52635. After we will calculate the factors of 52629 and 52635 and find the biggest common factor number .
Step-1: Prime Factorization of 52629
Prime factors of 52629 are 3, 53, 331. Prime factorization of 52629 in exponential form is:
52629 = 31 × 531 × 3311
Step-2: Prime Factorization of 52635
Prime factors of 52635 are 3, 5, 11, 29. Prime factorization of 52635 in exponential form is:
52635 = 31 × 51 × 112 × 291
Step-3: Factors of 52629
List of positive integer factors of 52629 that divides 52629 without a remainder.
1, 3, 53, 159, 331, 993, 17543
Step-4: Factors of 52635
List of positive integer factors of 52635 that divides 52629 without a remainder.
1, 3, 5, 11, 15, 29, 33, 55, 87, 121, 145, 165, 319, 363, 435, 605, 957, 1595, 1815, 3509, 4785, 10527, 17545
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 52629 and 52635. The biggest common factor number is the GCF number.
So the greatest common factor 52629 and 52635 is 3.
Also check out the Least Common Multiple of 52629 and 52635
Related Greatest Common Factors of 52629
- GCF of 52629 and 52633
- GCF of 52629 and 52634
- GCF of 52629 and 52635
- GCF of 52629 and 52636
- GCF of 52629 and 52637
- GCF of 52629 and 52638
- GCF of 52629 and 52639
- GCF of 52629 and 52640
- GCF of 52629 and 52641
- GCF of 52629 and 52642
- GCF of 52629 and 52643
- GCF of 52629 and 52644
- GCF of 52629 and 52645
- GCF of 52629 and 52646
- GCF of 52629 and 52647
- GCF of 52629 and 52648
- GCF of 52629 and 52649
Related Greatest Common Factors of 52635
- GCF of 52635 and 52639
- GCF of 52635 and 52640
- GCF of 52635 and 52641
- GCF of 52635 and 52642
- GCF of 52635 and 52643
- GCF of 52635 and 52644
- GCF of 52635 and 52645
- GCF of 52635 and 52646
- GCF of 52635 and 52647
- GCF of 52635 and 52648
- GCF of 52635 and 52649
- GCF of 52635 and 52650
- GCF of 52635 and 52651
- GCF of 52635 and 52652
- GCF of 52635 and 52653
- GCF of 52635 and 52654
- GCF of 52635 and 52655