What is the Greatest Common Factor of 60725 and 60732?

Greatest common factor (GCF) of 60725 and 60732 is 7.

GCF(60725,60732) = 7

We will now calculate the prime factors of 60725 and 60732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60725 and 60732.

How to find the GCF of 60725 and 60732?

We will first find the prime factorization of 60725 and 60732. After we will calculate the factors of 60725 and 60732 and find the biggest common factor number .

Step-1: Prime Factorization of 60725

Prime factors of 60725 are 5, 7, 347. Prime factorization of 60725 in exponential form is:

60725 = 5² × 7¹ × 347¹

Step-2: Prime Factorization of 60732

Prime factors of 60732 are 2, 3, 7, 241. Prime factorization of 60732 in exponential form is:

60732 = 2² × 3² × 7¹ × 241¹

Step-3: Factors of 60725

List of positive integer factors of 60725 that divides 60725 without a remainder.

1, 5, 7, 25, 35, 175, 347, 1735, 2429, 8675, 12145

Step-4: Factors of 60732

List of positive integer factors of 60732 that divides 60725 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 241, 252, 482, 723, 964, 1446, 1687, 2169, 2892, 3374, 4338, 5061, 6748, 8676, 10122, 15183, 20244, 30366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60725 and 60732. The biggest common factor number is the GCF number.
So the greatest common factor 60725 and 60732 is 7.

Also check out the Least Common Multiple of 60725 and 60732