What is the Greatest Common Factor of 70364 and 70378?

Greatest common factor (GCF) of 70364 and 70378 is 14.

GCF(70364,70378) = 14

We will now calculate the prime factors of 70364 and 70378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70364 and 70378.

How to find the GCF of 70364 and 70378?

We will first find the prime factorization of 70364 and 70378. After we will calculate the factors of 70364 and 70378 and find the biggest common factor number .

Step-1: Prime Factorization of 70364

Prime factors of 70364 are 2, 7, 359. Prime factorization of 70364 in exponential form is:

70364 = 2² × 7² × 359¹

Step-2: Prime Factorization of 70378

Prime factors of 70378 are 2, 7, 11, 457. Prime factorization of 70378 in exponential form is:

70378 = 2¹ × 7¹ × 11¹ × 457¹

Step-3: Factors of 70364

List of positive integer factors of 70364 that divides 70364 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 359, 718, 1436, 2513, 5026, 10052, 17591, 35182

Step-4: Factors of 70378

List of positive integer factors of 70378 that divides 70364 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 457, 914, 3199, 5027, 6398, 10054, 35189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70364 and 70378. The biggest common factor number is the GCF number.
So the greatest common factor 70364 and 70378 is 14.

Also check out the Least Common Multiple of 70364 and 70378