What is the Greatest Common Factor of 73960 and 73970?

Greatest common factor (GCF) of 73960 and 73970 is 10.

GCF(73960,73970) = 10

We will now calculate the prime factors of 73960 and 73970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73960 and 73970.

How to find the GCF of 73960 and 73970?

We will first find the prime factorization of 73960 and 73970. After we will calculate the factors of 73960 and 73970 and find the biggest common factor number .

Step-1: Prime Factorization of 73960

Prime factors of 73960 are 2, 5, 43. Prime factorization of 73960 in exponential form is:

73960 = 2³ × 5¹ × 43²

Step-2: Prime Factorization of 73970

Prime factors of 73970 are 2, 5, 13, 569. Prime factorization of 73970 in exponential form is:

73970 = 2¹ × 5¹ × 13¹ × 569¹

Step-3: Factors of 73960

List of positive integer factors of 73960 that divides 73960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720, 1849, 3698, 7396, 9245, 14792, 18490, 36980

Step-4: Factors of 73970

List of positive integer factors of 73970 that divides 73960 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 569, 1138, 2845, 5690, 7397, 14794, 36985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73960 and 73970. The biggest common factor number is the GCF number.
So the greatest common factor 73960 and 73970 is 10.

Also check out the Least Common Multiple of 73960 and 73970