What is the Greatest Common Factor of 87972 and 87978?

Greatest common factor (GCF) of 87972 and 87978 is 6.

GCF(87972,87978) = 6

We will now calculate the prime factors of 87972 and 87978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87972 and 87978.

How to find the GCF of 87972 and 87978?

We will first find the prime factorization of 87972 and 87978. After we will calculate the factors of 87972 and 87978 and find the biggest common factor number .

Step-1: Prime Factorization of 87972

Prime factors of 87972 are 2, 3, 7331. Prime factorization of 87972 in exponential form is:

87972 = 2² × 3¹ × 7331¹

Step-2: Prime Factorization of 87978

Prime factors of 87978 are 2, 3, 11, 31, 43. Prime factorization of 87978 in exponential form is:

87978 = 2¹ × 3¹ × 11¹ × 31¹ × 43¹

Step-3: Factors of 87972

List of positive integer factors of 87972 that divides 87972 without a remainder.

1, 2, 3, 4, 6, 12, 7331, 14662, 21993, 29324, 43986

Step-4: Factors of 87978

List of positive integer factors of 87978 that divides 87972 without a remainder.

1, 2, 3, 6, 11, 22, 31, 33, 43, 62, 66, 86, 93, 129, 186, 258, 341, 473, 682, 946, 1023, 1333, 1419, 2046, 2666, 2838, 3999, 7998, 14663, 29326, 43989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87972 and 87978. The biggest common factor number is the GCF number.
So the greatest common factor 87972 and 87978 is 6.

Also check out the Least Common Multiple of 87972 and 87978