What is the Greatest Common Factor of 70376 and 70392?

Greatest common factor (GCF) of 70376 and 70392 is 8.

GCF(70376,70392) = 8

We will now calculate the prime factors of 70376 and 70392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70376 and 70392.

How to find the GCF of 70376 and 70392?

We will first find the prime factorization of 70376 and 70392. After we will calculate the factors of 70376 and 70392 and find the biggest common factor number .

Step-1: Prime Factorization of 70376

Prime factors of 70376 are 2, 19, 463. Prime factorization of 70376 in exponential form is:

70376 = 2³ × 19¹ × 463¹

Step-2: Prime Factorization of 70392

Prime factors of 70392 are 2, 3, 7, 419. Prime factorization of 70392 in exponential form is:

70392 = 2³ × 3¹ × 7¹ × 419¹

Step-3: Factors of 70376

List of positive integer factors of 70376 that divides 70376 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 463, 926, 1852, 3704, 8797, 17594, 35188

Step-4: Factors of 70392

List of positive integer factors of 70392 that divides 70376 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 419, 838, 1257, 1676, 2514, 2933, 3352, 5028, 5866, 8799, 10056, 11732, 17598, 23464, 35196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70376 and 70392. The biggest common factor number is the GCF number.
So the greatest common factor 70376 and 70392 is 8.

Also check out the Least Common Multiple of 70376 and 70392