What is the Greatest Common Factor of 38519 and 38532?

Greatest common factor (GCF) of 38519 and 38532 is 13.

GCF(38519,38532) = 13

We will now calculate the prime factors of 38519 and 38532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38519 and 38532.

How to find the GCF of 38519 and 38532?

We will first find the prime factorization of 38519 and 38532. After we will calculate the factors of 38519 and 38532 and find the biggest common factor number .

Step-1: Prime Factorization of 38519

Prime factors of 38519 are 13, 2963. Prime factorization of 38519 in exponential form is:

38519 = 13¹ × 2963¹

Step-2: Prime Factorization of 38532

Prime factors of 38532 are 2, 3, 13, 19. Prime factorization of 38532 in exponential form is:

38532 = 2² × 3¹ × 13² × 19¹

Step-3: Factors of 38519

List of positive integer factors of 38519 that divides 38519 without a remainder.

1, 13, 2963

Step-4: Factors of 38532

List of positive integer factors of 38532 that divides 38519 without a remainder.

1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 169, 228, 247, 338, 494, 507, 676, 741, 988, 1014, 1482, 2028, 2964, 3211, 6422, 9633, 12844, 19266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38519 and 38532. The biggest common factor number is the GCF number.
So the greatest common factor 38519 and 38532 is 13.

Also check out the Least Common Multiple of 38519 and 38532