What is the Greatest Common Factor of 625 and 636?
Greatest common factor (GCF) of 625 and 636 is 1.
GCF(625,636) = 1
We will now calculate the prime factors of 625 and 636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 625 and 636.
How to find the GCF of 625 and 636?
We will first find the prime factorization of 625 and 636. After we will calculate the factors of 625 and 636 and find the biggest common factor number .
Step-1: Prime Factorization of 625
Prime factors of 625 are 5. Prime factorization of 625 in exponential form is:
625 = 54
Step-2: Prime Factorization of 636
Prime factors of 636 are 2, 3, 53. Prime factorization of 636 in exponential form is:
636 = 22 × 31 × 531
Step-3: Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1, 5, 25, 125
Step-4: Factors of 636
List of positive integer factors of 636 that divides 625 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 625 and 636. The biggest common factor number is the GCF number.
So the greatest common factor 625 and 636 is 1.
Also check out the Least Common Multiple of 625 and 636
Related Greatest Common Factors of 625
- GCF of 625 and 629
- GCF of 625 and 630
- GCF of 625 and 631
- GCF of 625 and 632
- GCF of 625 and 633
- GCF of 625 and 634
- GCF of 625 and 635
- GCF of 625 and 636
- GCF of 625 and 637
- GCF of 625 and 638
- GCF of 625 and 639
- GCF of 625 and 640
- GCF of 625 and 641
- GCF of 625 and 642
- GCF of 625 and 643
- GCF of 625 and 644
- GCF of 625 and 645
Related Greatest Common Factors of 636
- GCF of 636 and 640
- GCF of 636 and 641
- GCF of 636 and 642
- GCF of 636 and 643
- GCF of 636 and 644
- GCF of 636 and 645
- GCF of 636 and 646
- GCF of 636 and 647
- GCF of 636 and 648
- GCF of 636 and 649
- GCF of 636 and 650
- GCF of 636 and 651
- GCF of 636 and 652
- GCF of 636 and 653
- GCF of 636 and 654
- GCF of 636 and 655
- GCF of 636 and 656