What is the Greatest Common Factor of 65070 and 65080?

Greatest common factor (GCF) of 65070 and 65080 is 10.

GCF(65070,65080) = 10

We will now calculate the prime factors of 65070 and 65080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65070 and 65080.

How to find the GCF of 65070 and 65080?

We will first find the prime factorization of 65070 and 65080. After we will calculate the factors of 65070 and 65080 and find the biggest common factor number .

Step-1: Prime Factorization of 65070

Prime factors of 65070 are 2, 3, 5, 241. Prime factorization of 65070 in exponential form is:

65070 = 2¹ × 3³ × 5¹ × 241¹

Step-2: Prime Factorization of 65080

Prime factors of 65080 are 2, 5, 1627. Prime factorization of 65080 in exponential form is:

65080 = 2³ × 5¹ × 1627¹

Step-3: Factors of 65070

List of positive integer factors of 65070 that divides 65070 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 241, 270, 482, 723, 1205, 1446, 2169, 2410, 3615, 4338, 6507, 7230, 10845, 13014, 21690, 32535

Step-4: Factors of 65080

List of positive integer factors of 65080 that divides 65070 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1627, 3254, 6508, 8135, 13016, 16270, 32540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65070 and 65080. The biggest common factor number is the GCF number.
So the greatest common factor 65070 and 65080 is 10.

Also check out the Least Common Multiple of 65070 and 65080