What is the Greatest Common Factor of 4620 and 4625?
Greatest common factor (GCF) of 4620 and 4625 is 5.
GCF(4620,4625) = 5
We will now calculate the prime factors of 4620 and 4625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4620 and 4625.
How to find the GCF of 4620 and 4625?
We will first find the prime factorization of 4620 and 4625. After we will calculate the factors of 4620 and 4625 and find the biggest common factor number .
Step-1: Prime Factorization of 4620
Prime factors of 4620 are 2, 3, 5, 7, 11. Prime factorization of 4620 in exponential form is:
4620 = 22 × 31 × 51 × 71 × 111
Step-2: Prime Factorization of 4625
Prime factors of 4625 are 5, 37. Prime factorization of 4625 in exponential form is:
4625 = 53 × 371
Step-3: Factors of 4620
List of positive integer factors of 4620 that divides 4620 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310
Step-4: Factors of 4625
List of positive integer factors of 4625 that divides 4620 without a remainder.
1, 5, 25, 37, 125, 185, 925
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4620 and 4625. The biggest common factor number is the GCF number.
So the greatest common factor 4620 and 4625 is 5.
Also check out the Least Common Multiple of 4620 and 4625
Related Greatest Common Factors of 4620
- GCF of 4620 and 4624
- GCF of 4620 and 4625
- GCF of 4620 and 4626
- GCF of 4620 and 4627
- GCF of 4620 and 4628
- GCF of 4620 and 4629
- GCF of 4620 and 4630
- GCF of 4620 and 4631
- GCF of 4620 and 4632
- GCF of 4620 and 4633
- GCF of 4620 and 4634
- GCF of 4620 and 4635
- GCF of 4620 and 4636
- GCF of 4620 and 4637
- GCF of 4620 and 4638
- GCF of 4620 and 4639
- GCF of 4620 and 4640
Related Greatest Common Factors of 4625
- GCF of 4625 and 4629
- GCF of 4625 and 4630
- GCF of 4625 and 4631
- GCF of 4625 and 4632
- GCF of 4625 and 4633
- GCF of 4625 and 4634
- GCF of 4625 and 4635
- GCF of 4625 and 4636
- GCF of 4625 and 4637
- GCF of 4625 and 4638
- GCF of 4625 and 4639
- GCF of 4625 and 4640
- GCF of 4625 and 4641
- GCF of 4625 and 4642
- GCF of 4625 and 4643
- GCF of 4625 and 4644
- GCF of 4625 and 4645