What is the Greatest Common Factor of 84352 and 84372?

Greatest common factor (GCF) of 84352 and 84372 is 4.

GCF(84352,84372) = 4

We will now calculate the prime factors of 84352 and 84372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84352 and 84372.

How to find the GCF of 84352 and 84372?

We will first find the prime factorization of 84352 and 84372. After we will calculate the factors of 84352 and 84372 and find the biggest common factor number .

Step-1: Prime Factorization of 84352

Prime factors of 84352 are 2, 659. Prime factorization of 84352 in exponential form is:

84352 = 2⁷ × 659¹

Step-2: Prime Factorization of 84372

Prime factors of 84372 are 2, 3, 79, 89. Prime factorization of 84372 in exponential form is:

84372 = 2² × 3¹ × 79¹ × 89¹

Step-3: Factors of 84352

List of positive integer factors of 84352 that divides 84352 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 659, 1318, 2636, 5272, 10544, 21088, 42176

Step-4: Factors of 84372

List of positive integer factors of 84372 that divides 84352 without a remainder.

1, 2, 3, 4, 6, 12, 79, 89, 158, 178, 237, 267, 316, 356, 474, 534, 948, 1068, 7031, 14062, 21093, 28124, 42186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84352 and 84372. The biggest common factor number is the GCF number.
So the greatest common factor 84352 and 84372 is 4.

Also check out the Least Common Multiple of 84352 and 84372