What is the Greatest Common Factor of 87408 and 87428?

Greatest common factor (GCF) of 87408 and 87428 is 4.

GCF(87408,87428) = 4

We will now calculate the prime factors of 87408 and 87428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87408 and 87428.

How to find the GCF of 87408 and 87428?

We will first find the prime factorization of 87408 and 87428. After we will calculate the factors of 87408 and 87428 and find the biggest common factor number .

Step-1: Prime Factorization of 87408

Prime factors of 87408 are 2, 3, 607. Prime factorization of 87408 in exponential form is:

87408 = 2⁴ × 3² × 607¹

Step-2: Prime Factorization of 87428

Prime factors of 87428 are 2, 11, 1987. Prime factorization of 87428 in exponential form is:

87428 = 2² × 11¹ × 1987¹

Step-3: Factors of 87408

List of positive integer factors of 87408 that divides 87408 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 607, 1214, 1821, 2428, 3642, 4856, 5463, 7284, 9712, 10926, 14568, 21852, 29136, 43704

Step-4: Factors of 87428

List of positive integer factors of 87428 that divides 87408 without a remainder.

1, 2, 4, 11, 22, 44, 1987, 3974, 7948, 21857, 43714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87408 and 87428. The biggest common factor number is the GCF number.
So the greatest common factor 87408 and 87428 is 4.

Also check out the Least Common Multiple of 87408 and 87428