What is the Greatest Common Factor of 75950 and 75970?

Greatest common factor (GCF) of 75950 and 75970 is 10.

GCF(75950,75970) = 10

We will now calculate the prime factors of 75950 and 75970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75950 and 75970.

How to find the GCF of 75950 and 75970?

We will first find the prime factorization of 75950 and 75970. After we will calculate the factors of 75950 and 75970 and find the biggest common factor number .

Step-1: Prime Factorization of 75950

Prime factors of 75950 are 2, 5, 7, 31. Prime factorization of 75950 in exponential form is:

75950 = 2¹ × 5² × 7² × 31¹

Step-2: Prime Factorization of 75970

Prime factors of 75970 are 2, 5, 71, 107. Prime factorization of 75970 in exponential form is:

75970 = 2¹ × 5¹ × 71¹ × 107¹

Step-3: Factors of 75950

List of positive integer factors of 75950 that divides 75950 without a remainder.

1, 2, 5, 7, 10, 14, 25, 31, 35, 49, 50, 62, 70, 98, 155, 175, 217, 245, 310, 350, 434, 490, 775, 1085, 1225, 1519, 1550, 2170, 2450, 3038, 5425, 7595, 10850, 15190, 37975

Step-4: Factors of 75970

List of positive integer factors of 75970 that divides 75950 without a remainder.

1, 2, 5, 10, 71, 107, 142, 214, 355, 535, 710, 1070, 7597, 15194, 37985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75950 and 75970. The biggest common factor number is the GCF number.
So the greatest common factor 75950 and 75970 is 10.

Also check out the Least Common Multiple of 75950 and 75970