What is the Greatest Common Factor of 61565 and 61572?

Greatest common factor (GCF) of 61565 and 61572 is 7.

GCF(61565,61572) = 7

We will now calculate the prime factors of 61565 and 61572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61565 and 61572.

How to find the GCF of 61565 and 61572?

We will first find the prime factorization of 61565 and 61572. After we will calculate the factors of 61565 and 61572 and find the biggest common factor number .

Step-1: Prime Factorization of 61565

Prime factors of 61565 are 5, 7, 1759. Prime factorization of 61565 in exponential form is:

61565 = 5¹ × 7¹ × 1759¹

Step-2: Prime Factorization of 61572

Prime factors of 61572 are 2, 3, 7, 733. Prime factorization of 61572 in exponential form is:

61572 = 2² × 3¹ × 7¹ × 733¹

Step-3: Factors of 61565

List of positive integer factors of 61565 that divides 61565 without a remainder.

1, 5, 7, 35, 1759, 8795, 12313

Step-4: Factors of 61572

List of positive integer factors of 61572 that divides 61565 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 733, 1466, 2199, 2932, 4398, 5131, 8796, 10262, 15393, 20524, 30786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61565 and 61572. The biggest common factor number is the GCF number.
So the greatest common factor 61565 and 61572 is 7.

Also check out the Least Common Multiple of 61565 and 61572