What is the Greatest Common Factor of 70538 and 70551?

Greatest common factor (GCF) of 70538 and 70551 is 13.

GCF(70538,70551) = 13

We will now calculate the prime factors of 70538 and 70551, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70538 and 70551.

How to find the GCF of 70538 and 70551?

We will first find the prime factorization of 70538 and 70551. After we will calculate the factors of 70538 and 70551 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 70551

Prime factors of 70551 are 3, 13, 67. Prime factorization of 70551 in exponential form is:

70551 = 3⁴ × 13¹ × 67¹

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 70551

List of positive integer factors of 70551 that divides 70538 without a remainder.

1, 3, 9, 13, 27, 39, 67, 81, 117, 201, 351, 603, 871, 1053, 1809, 2613, 5427, 7839, 23517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70538 and 70551. The biggest common factor number is the GCF number.
So the greatest common factor 70538 and 70551 is 13.

Also check out the Least Common Multiple of 70538 and 70551