What is the Greatest Common Factor of 48412 and 48431?

Greatest common factor (GCF) of 48412 and 48431 is 19.

GCF(48412,48431) = 19

We will now calculate the prime factors of 48412 and 48431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48412 and 48431.

How to find the GCF of 48412 and 48431?

We will first find the prime factorization of 48412 and 48431. After we will calculate the factors of 48412 and 48431 and find the biggest common factor number .

Step-1: Prime Factorization of 48412

Prime factors of 48412 are 2, 7, 13, 19. Prime factorization of 48412 in exponential form is:

48412 = 2² × 7² × 13¹ × 19¹

Step-2: Prime Factorization of 48431

Prime factors of 48431 are 19, 2549. Prime factorization of 48431 in exponential form is:

48431 = 19¹ × 2549¹

Step-3: Factors of 48412

List of positive integer factors of 48412 that divides 48412 without a remainder.

1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 49, 52, 76, 91, 98, 133, 182, 196, 247, 266, 364, 494, 532, 637, 931, 988, 1274, 1729, 1862, 2548, 3458, 3724, 6916, 12103, 24206

Step-4: Factors of 48431

List of positive integer factors of 48431 that divides 48412 without a remainder.

1, 19, 2549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48412 and 48431. The biggest common factor number is the GCF number.
So the greatest common factor 48412 and 48431 is 19.

Also check out the Least Common Multiple of 48412 and 48431