What is the Greatest Common Factor of 61456 and 61464?

Greatest common factor (GCF) of 61456 and 61464 is 8.

GCF(61456,61464) = 8

We will now calculate the prime factors of 61456 and 61464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61456 and 61464.

How to find the GCF of 61456 and 61464?

We will first find the prime factorization of 61456 and 61464. After we will calculate the factors of 61456 and 61464 and find the biggest common factor number .

Step-1: Prime Factorization of 61456

Prime factors of 61456 are 2, 23, 167. Prime factorization of 61456 in exponential form is:

61456 = 2⁴ × 23¹ × 167¹

Step-2: Prime Factorization of 61464

Prime factors of 61464 are 2, 3, 13, 197. Prime factorization of 61464 in exponential form is:

61464 = 2³ × 3¹ × 13¹ × 197¹

Step-3: Factors of 61456

List of positive integer factors of 61456 that divides 61456 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 167, 184, 334, 368, 668, 1336, 2672, 3841, 7682, 15364, 30728

Step-4: Factors of 61464

List of positive integer factors of 61464 that divides 61456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 197, 312, 394, 591, 788, 1182, 1576, 2364, 2561, 4728, 5122, 7683, 10244, 15366, 20488, 30732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61456 and 61464. The biggest common factor number is the GCF number.
So the greatest common factor 61456 and 61464 is 8.

Also check out the Least Common Multiple of 61456 and 61464