What is the Greatest Common Factor of 70392 and 70410?

Greatest common factor (GCF) of 70392 and 70410 is 6.

GCF(70392,70410) = 6

We will now calculate the prime factors of 70392 and 70410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70392 and 70410.

How to find the GCF of 70392 and 70410?

We will first find the prime factorization of 70392 and 70410. After we will calculate the factors of 70392 and 70410 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70410

Prime factors of 70410 are 2, 3, 5, 2347. Prime factorization of 70410 in exponential form is:

70410 = 2¹ × 3¹ × 5¹ × 2347¹

Step-3: Factors of 70392

List of positive integer factors of 70392 that divides 70392 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

Step-4: Factors of 70410

List of positive integer factors of 70410 that divides 70392 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2347, 4694, 7041, 11735, 14082, 23470, 35205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70392 and 70410. The biggest common factor number is the GCF number.
So the greatest common factor 70392 and 70410 is 6.

Also check out the Least Common Multiple of 70392 and 70410