What is the Greatest Common Factor of 42700 and 42710?

Greatest common factor (GCF) of 42700 and 42710 is 10.

GCF(42700,42710) = 10

We will now calculate the prime factors of 42700 and 42710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42700 and 42710.

How to find the GCF of 42700 and 42710?

We will first find the prime factorization of 42700 and 42710. After we will calculate the factors of 42700 and 42710 and find the biggest common factor number .

Step-1: Prime Factorization of 42700

Prime factors of 42700 are 2, 5, 7, 61. Prime factorization of 42700 in exponential form is:

42700 = 2² × 5² × 7¹ × 61¹

Step-2: Prime Factorization of 42710

Prime factors of 42710 are 2, 5, 4271. Prime factorization of 42710 in exponential form is:

42710 = 2¹ × 5¹ × 4271¹

Step-3: Factors of 42700

List of positive integer factors of 42700 that divides 42700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 61, 70, 100, 122, 140, 175, 244, 305, 350, 427, 610, 700, 854, 1220, 1525, 1708, 2135, 3050, 4270, 6100, 8540, 10675, 21350

Step-4: Factors of 42710

List of positive integer factors of 42710 that divides 42700 without a remainder.

1, 2, 5, 10, 4271, 8542, 21355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42700 and 42710. The biggest common factor number is the GCF number.
So the greatest common factor 42700 and 42710 is 10.

Also check out the Least Common Multiple of 42700 and 42710