What is the Greatest Common Factor of 70364 and 70372?

Greatest common factor (GCF) of 70364 and 70372 is 4.

GCF(70364,70372) = 4

We will now calculate the prime factors of 70364 and 70372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70364 and 70372.

How to find the GCF of 70364 and 70372?

We will first find the prime factorization of 70364 and 70372. After we will calculate the factors of 70364 and 70372 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 70372

Prime factors of 70372 are 2, 73, 241. Prime factorization of 70372 in exponential form is:

70372 = 2² × 73¹ × 241¹

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 70372

List of positive integer factors of 70372 that divides 70364 without a remainder.

1, 2, 4, 73, 146, 241, 292, 482, 964, 17593, 35186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70364 and 70372. The biggest common factor number is the GCF number.
So the greatest common factor 70364 and 70372 is 4.

Also check out the Least Common Multiple of 70364 and 70372