What is the Greatest Common Factor of 42980 and 42987?

Greatest common factor (GCF) of 42980 and 42987 is 7.

GCF(42980,42987) = 7

We will now calculate the prime factors of 42980 and 42987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42980 and 42987.

How to find the GCF of 42980 and 42987?

We will first find the prime factorization of 42980 and 42987. After we will calculate the factors of 42980 and 42987 and find the biggest common factor number .

Step-1: Prime Factorization of 42980

Prime factors of 42980 are 2, 5, 7, 307. Prime factorization of 42980 in exponential form is:

42980 = 2² × 5¹ × 7¹ × 307¹

Step-2: Prime Factorization of 42987

Prime factors of 42987 are 3, 7, 23, 89. Prime factorization of 42987 in exponential form is:

42987 = 3¹ × 7¹ × 23¹ × 89¹

Step-3: Factors of 42980

List of positive integer factors of 42980 that divides 42980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 307, 614, 1228, 1535, 2149, 3070, 4298, 6140, 8596, 10745, 21490

Step-4: Factors of 42987

List of positive integer factors of 42987 that divides 42980 without a remainder.

1, 3, 7, 21, 23, 69, 89, 161, 267, 483, 623, 1869, 2047, 6141, 14329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42980 and 42987. The biggest common factor number is the GCF number.
So the greatest common factor 42980 and 42987 is 7.

Also check out the Least Common Multiple of 42980 and 42987