What is the Greatest Common Factor of 87374 and 87381?

Greatest common factor (GCF) of 87374 and 87381 is 7.

GCF(87374,87381) = 7

We will now calculate the prime factors of 87374 and 87381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87374 and 87381.

How to find the GCF of 87374 and 87381?

We will first find the prime factorization of 87374 and 87381. After we will calculate the factors of 87374 and 87381 and find the biggest common factor number .

Step-1: Prime Factorization of 87374

Prime factors of 87374 are 2, 7, 79. Prime factorization of 87374 in exponential form is:

87374 = 2¹ × 7¹ × 79²

Step-2: Prime Factorization of 87381

Prime factors of 87381 are 3, 7, 19, 73. Prime factorization of 87381 in exponential form is:

87381 = 3² × 7¹ × 19¹ × 73¹

Step-3: Factors of 87374

List of positive integer factors of 87374 that divides 87374 without a remainder.

1, 2, 7, 14, 79, 158, 553, 1106, 6241, 12482, 43687

Step-4: Factors of 87381

List of positive integer factors of 87381 that divides 87374 without a remainder.

1, 3, 7, 9, 19, 21, 57, 63, 73, 133, 171, 219, 399, 511, 657, 1197, 1387, 1533, 4161, 4599, 9709, 12483, 29127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87374 and 87381. The biggest common factor number is the GCF number.
So the greatest common factor 87374 and 87381 is 7.

Also check out the Least Common Multiple of 87374 and 87381