What is the Greatest Common Factor of 87970 and 87980?

Greatest common factor (GCF) of 87970 and 87980 is 10.

GCF(87970,87980) = 10

We will now calculate the prime factors of 87970 and 87980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87970 and 87980.

How to find the GCF of 87970 and 87980?

We will first find the prime factorization of 87970 and 87980. After we will calculate the factors of 87970 and 87980 and find the biggest common factor number .

Step-1: Prime Factorization of 87970

Prime factors of 87970 are 2, 5, 19, 463. Prime factorization of 87970 in exponential form is:

87970 = 2¹ × 5¹ × 19¹ × 463¹

Step-2: Prime Factorization of 87980

Prime factors of 87980 are 2, 5, 53, 83. Prime factorization of 87980 in exponential form is:

87980 = 2² × 5¹ × 53¹ × 83¹

Step-3: Factors of 87970

List of positive integer factors of 87970 that divides 87970 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 463, 926, 2315, 4630, 8797, 17594, 43985

Step-4: Factors of 87980

List of positive integer factors of 87980 that divides 87970 without a remainder.

1, 2, 4, 5, 10, 20, 53, 83, 106, 166, 212, 265, 332, 415, 530, 830, 1060, 1660, 4399, 8798, 17596, 21995, 43990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87970 and 87980. The biggest common factor number is the GCF number.
So the greatest common factor 87970 and 87980 is 10.

Also check out the Least Common Multiple of 87970 and 87980