What is the Greatest Common Factor of 59620 and 59625?

Greatest common factor (GCF) of 59620 and 59625 is 5.

GCF(59620,59625) = 5

We will now calculate the prime factors of 59620 and 59625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59620 and 59625.

How to find the GCF of 59620 and 59625?

We will first find the prime factorization of 59620 and 59625. After we will calculate the factors of 59620 and 59625 and find the biggest common factor number .

Step-1: Prime Factorization of 59620

Prime factors of 59620 are 2, 5, 11, 271. Prime factorization of 59620 in exponential form is:

59620 = 2² × 5¹ × 11¹ × 271¹

Step-2: Prime Factorization of 59625

Prime factors of 59625 are 3, 5, 53. Prime factorization of 59625 in exponential form is:

59625 = 3² × 5³ × 53¹

Step-3: Factors of 59620

List of positive integer factors of 59620 that divides 59620 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 271, 542, 1084, 1355, 2710, 2981, 5420, 5962, 11924, 14905, 29810

Step-4: Factors of 59625

List of positive integer factors of 59625 that divides 59620 without a remainder.

1, 3, 5, 9, 15, 25, 45, 53, 75, 125, 159, 225, 265, 375, 477, 795, 1125, 1325, 2385, 3975, 6625, 11925, 19875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59620 and 59625. The biggest common factor number is the GCF number.
So the greatest common factor 59620 and 59625 is 5.

Also check out the Least Common Multiple of 59620 and 59625