What is the Greatest Common Factor of 64452 and 64461?

Greatest common factor (GCF) of 64452 and 64461 is 3.

GCF(64452,64461) = 3

We will now calculate the prime factors of 64452 and 64461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64452 and 64461.

How to find the GCF of 64452 and 64461?

We will first find the prime factorization of 64452 and 64461. After we will calculate the factors of 64452 and 64461 and find the biggest common factor number .

Step-1: Prime Factorization of 64452

Prime factors of 64452 are 2, 3, 41, 131. Prime factorization of 64452 in exponential form is:

64452 = 2² × 3¹ × 41¹ × 131¹

Step-2: Prime Factorization of 64461

Prime factors of 64461 are 3, 21487. Prime factorization of 64461 in exponential form is:

64461 = 3¹ × 21487¹

Step-3: Factors of 64452

List of positive integer factors of 64452 that divides 64452 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 131, 164, 246, 262, 393, 492, 524, 786, 1572, 5371, 10742, 16113, 21484, 32226

Step-4: Factors of 64461

List of positive integer factors of 64461 that divides 64452 without a remainder.

1, 3, 21487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64452 and 64461. The biggest common factor number is the GCF number.
So the greatest common factor 64452 and 64461 is 3.

Also check out the Least Common Multiple of 64452 and 64461