What is the Greatest Common Factor of 70538 and 70552?

Greatest common factor (GCF) of 70538 and 70552 is 2.

GCF(70538,70552) = 2

We will now calculate the prime factors of 70538 and 70552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70538 and 70552.

How to find the GCF of 70538 and 70552?

We will first find the prime factorization of 70538 and 70552. After we will calculate the factors of 70538 and 70552 and find the biggest common factor number .

Step-1: Prime Factorization of 70538

Prime factors of 70538 are 2, 13, 2713. Prime factorization of 70538 in exponential form is:

70538 = 2¹ × 13¹ × 2713¹

Step-2: Prime Factorization of 70552

Prime factors of 70552 are 2, 8819. Prime factorization of 70552 in exponential form is:

70552 = 2³ × 8819¹

Step-3: Factors of 70538

List of positive integer factors of 70538 that divides 70538 without a remainder.

1, 2, 13, 26, 2713, 5426, 35269

Step-4: Factors of 70552

List of positive integer factors of 70552 that divides 70538 without a remainder.

1, 2, 4, 8, 8819, 17638, 35276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70538 and 70552. The biggest common factor number is the GCF number.
So the greatest common factor 70538 and 70552 is 2.

Also check out the Least Common Multiple of 70538 and 70552