What is the Greatest Common Factor of 59536 and 59546?

Greatest common factor (GCF) of 59536 and 59546 is 2.

GCF(59536,59546) = 2

We will now calculate the prime factors of 59536 and 59546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59536 and 59546.

How to find the GCF of 59536 and 59546?

We will first find the prime factorization of 59536 and 59546. After we will calculate the factors of 59536 and 59546 and find the biggest common factor number .

Step-1: Prime Factorization of 59536

Prime factors of 59536 are 2, 61. Prime factorization of 59536 in exponential form is:

59536 = 2⁴ × 61²

Step-2: Prime Factorization of 59546

Prime factors of 59546 are 2, 19, 1567. Prime factorization of 59546 in exponential form is:

59546 = 2¹ × 19¹ × 1567¹

Step-3: Factors of 59536

List of positive integer factors of 59536 that divides 59536 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976, 3721, 7442, 14884, 29768

Step-4: Factors of 59546

List of positive integer factors of 59546 that divides 59536 without a remainder.

1, 2, 19, 38, 1567, 3134, 29773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59536 and 59546. The biggest common factor number is the GCF number.
So the greatest common factor 59536 and 59546 is 2.

Also check out the Least Common Multiple of 59536 and 59546