What is the Greatest Common Factor of 87072 and 87078?

Greatest common factor (GCF) of 87072 and 87078 is 6.

GCF(87072,87078) = 6

We will now calculate the prime factors of 87072 and 87078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87072 and 87078.

How to find the GCF of 87072 and 87078?

We will first find the prime factorization of 87072 and 87078. After we will calculate the factors of 87072 and 87078 and find the biggest common factor number .

Step-1: Prime Factorization of 87072

Prime factors of 87072 are 2, 3, 907. Prime factorization of 87072 in exponential form is:

87072 = 2⁵ × 3¹ × 907¹

Step-2: Prime Factorization of 87078

Prime factors of 87078 are 2, 3, 23, 631. Prime factorization of 87078 in exponential form is:

87078 = 2¹ × 3¹ × 23¹ × 631¹

Step-3: Factors of 87072

List of positive integer factors of 87072 that divides 87072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 907, 1814, 2721, 3628, 5442, 7256, 10884, 14512, 21768, 29024, 43536

Step-4: Factors of 87078

List of positive integer factors of 87078 that divides 87072 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 631, 1262, 1893, 3786, 14513, 29026, 43539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87072 and 87078. The biggest common factor number is the GCF number.
So the greatest common factor 87072 and 87078 is 6.

Also check out the Least Common Multiple of 87072 and 87078