What is the Greatest Common Factor of 64538 and 64546?

Greatest common factor (GCF) of 64538 and 64546 is 2.

GCF(64538,64546) = 2

We will now calculate the prime factors of 64538 and 64546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64538 and 64546.

How to find the GCF of 64538 and 64546?

We will first find the prime factorization of 64538 and 64546. After we will calculate the factors of 64538 and 64546 and find the biggest common factor number .

Step-1: Prime Factorization of 64538

Prime factors of 64538 are 2, 23, 61. Prime factorization of 64538 in exponential form is:

64538 = 2¹ × 23² × 61¹

Step-2: Prime Factorization of 64546

Prime factors of 64546 are 2, 59, 547. Prime factorization of 64546 in exponential form is:

64546 = 2¹ × 59¹ × 547¹

Step-3: Factors of 64538

List of positive integer factors of 64538 that divides 64538 without a remainder.

1, 2, 23, 46, 61, 122, 529, 1058, 1403, 2806, 32269

Step-4: Factors of 64546

List of positive integer factors of 64546 that divides 64538 without a remainder.

1, 2, 59, 118, 547, 1094, 32273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64538 and 64546. The biggest common factor number is the GCF number.
So the greatest common factor 64538 and 64546 is 2.

Also check out the Least Common Multiple of 64538 and 64546