What is the Greatest Common Factor of 77448 and 77462?

Greatest common factor (GCF) of 77448 and 77462 is 14.

GCF(77448,77462) = 14

We will now calculate the prime factors of 77448 and 77462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77448 and 77462.

How to find the GCF of 77448 and 77462?

We will first find the prime factorization of 77448 and 77462. After we will calculate the factors of 77448 and 77462 and find the biggest common factor number .

Step-1: Prime Factorization of 77448

Prime factors of 77448 are 2, 3, 7, 461. Prime factorization of 77448 in exponential form is:

77448 = 2³ × 3¹ × 7¹ × 461¹

Step-2: Prime Factorization of 77462

Prime factors of 77462 are 2, 7, 11, 503. Prime factorization of 77462 in exponential form is:

77462 = 2¹ × 7¹ × 11¹ × 503¹

Step-3: Factors of 77448

List of positive integer factors of 77448 that divides 77448 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 461, 922, 1383, 1844, 2766, 3227, 3688, 5532, 6454, 9681, 11064, 12908, 19362, 25816, 38724

Step-4: Factors of 77462

List of positive integer factors of 77462 that divides 77448 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 503, 1006, 3521, 5533, 7042, 11066, 38731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77448 and 77462. The biggest common factor number is the GCF number.
So the greatest common factor 77448 and 77462 is 14.

Also check out the Least Common Multiple of 77448 and 77462