What is the Greatest Common Factor of 86950 and 86970?

Greatest common factor (GCF) of 86950 and 86970 is 10.

GCF(86950,86970) = 10

We will now calculate the prime factors of 86950 and 86970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86950 and 86970.

How to find the GCF of 86950 and 86970?

We will first find the prime factorization of 86950 and 86970. After we will calculate the factors of 86950 and 86970 and find the biggest common factor number .

Step-1: Prime Factorization of 86950

Prime factors of 86950 are 2, 5, 37, 47. Prime factorization of 86950 in exponential form is:

86950 = 2¹ × 5² × 37¹ × 47¹

Step-2: Prime Factorization of 86970

Prime factors of 86970 are 2, 3, 5, 13, 223. Prime factorization of 86970 in exponential form is:

86970 = 2¹ × 3¹ × 5¹ × 13¹ × 223¹

Step-3: Factors of 86950

List of positive integer factors of 86950 that divides 86950 without a remainder.

1, 2, 5, 10, 25, 37, 47, 50, 74, 94, 185, 235, 370, 470, 925, 1175, 1739, 1850, 2350, 3478, 8695, 17390, 43475

Step-4: Factors of 86970

List of positive integer factors of 86970 that divides 86950 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 223, 390, 446, 669, 1115, 1338, 2230, 2899, 3345, 5798, 6690, 8697, 14495, 17394, 28990, 43485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86950 and 86970. The biggest common factor number is the GCF number.
So the greatest common factor 86950 and 86970 is 10.

Also check out the Least Common Multiple of 86950 and 86970