What is the Greatest Common Factor of 70644 and 70658?

Greatest common factor (GCF) of 70644 and 70658 is 14.

GCF(70644,70658) = 14

We will now calculate the prime factors of 70644 and 70658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70644 and 70658.

How to find the GCF of 70644 and 70658?

We will first find the prime factorization of 70644 and 70658. After we will calculate the factors of 70644 and 70658 and find the biggest common factor number .

Step-1: Prime Factorization of 70644

Prime factors of 70644 are 2, 3, 7, 29. Prime factorization of 70644 in exponential form is:

70644 = 2² × 3¹ × 7¹ × 29²

Step-2: Prime Factorization of 70658

Prime factors of 70658 are 2, 7, 103. Prime factorization of 70658 in exponential form is:

70658 = 2¹ × 7³ × 103¹

Step-3: Factors of 70644

List of positive integer factors of 70644 that divides 70644 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 841, 1218, 1682, 2436, 2523, 3364, 5046, 5887, 10092, 11774, 17661, 23548, 35322

Step-4: Factors of 70658

List of positive integer factors of 70658 that divides 70644 without a remainder.

1, 2, 7, 14, 49, 98, 103, 206, 343, 686, 721, 1442, 5047, 10094, 35329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70644 and 70658. The biggest common factor number is the GCF number.
So the greatest common factor 70644 and 70658 is 14.

Also check out the Least Common Multiple of 70644 and 70658