What is the Greatest Common Factor of 60452 and 60464?

Greatest common factor (GCF) of 60452 and 60464 is 4.

GCF(60452,60464) = 4

We will now calculate the prime factors of 60452 and 60464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60452 and 60464.

How to find the GCF of 60452 and 60464?

We will first find the prime factorization of 60452 and 60464. After we will calculate the factors of 60452 and 60464 and find the biggest common factor number .

Step-1: Prime Factorization of 60452

Prime factors of 60452 are 2, 7, 17, 127. Prime factorization of 60452 in exponential form is:

60452 = 2² × 7¹ × 17¹ × 127¹

Step-2: Prime Factorization of 60464

Prime factors of 60464 are 2, 3779. Prime factorization of 60464 in exponential form is:

60464 = 2⁴ × 3779¹

Step-3: Factors of 60452

List of positive integer factors of 60452 that divides 60452 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 127, 238, 254, 476, 508, 889, 1778, 2159, 3556, 4318, 8636, 15113, 30226

Step-4: Factors of 60464

List of positive integer factors of 60464 that divides 60452 without a remainder.

1, 2, 4, 8, 16, 3779, 7558, 15116, 30232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60452 and 60464. The biggest common factor number is the GCF number.
So the greatest common factor 60452 and 60464 is 4.

Also check out the Least Common Multiple of 60452 and 60464