What is the Greatest Common Factor of 61464 and 61476?

Greatest common factor (GCF) of 61464 and 61476 is 12.

GCF(61464,61476) = 12

We will now calculate the prime factors of 61464 and 61476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61464 and 61476.

How to find the GCF of 61464 and 61476?

We will first find the prime factorization of 61464 and 61476. After we will calculate the factors of 61464 and 61476 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61476

Prime factors of 61476 are 2, 3, 47, 109. Prime factorization of 61476 in exponential form is:

61476 = 2² × 3¹ × 47¹ × 109¹

Step-3: Factors of 61464

List of positive integer factors of 61464 that divides 61464 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

Step-4: Factors of 61476

List of positive integer factors of 61476 that divides 61464 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 109, 141, 188, 218, 282, 327, 436, 564, 654, 1308, 5123, 10246, 15369, 20492, 30738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61464 and 61476. The biggest common factor number is the GCF number.
So the greatest common factor 61464 and 61476 is 12.

Also check out the Least Common Multiple of 61464 and 61476