What is the Greatest Common Factor of 70538 and 70542?

Greatest common factor (GCF) of 70538 and 70542 is 2.

GCF(70538,70542) = 2

We will now calculate the prime factors of 70538 and 70542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70538 and 70542.

How to find the GCF of 70538 and 70542?

We will first find the prime factorization of 70538 and 70542. After we will calculate the factors of 70538 and 70542 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 70542

Prime factors of 70542 are 2, 3, 3919. Prime factorization of 70542 in exponential form is:

70542 = 2¹ × 3² × 3919¹

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 70542

List of positive integer factors of 70542 that divides 70538 without a remainder.

1, 2, 3, 6, 9, 18, 3919, 7838, 11757, 23514, 35271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70538 and 70542. The biggest common factor number is the GCF number.
So the greatest common factor 70538 and 70542 is 2.

Also check out the Least Common Multiple of 70538 and 70542