What is the Greatest Common Factor of 75050 and 75070?

Greatest common factor (GCF) of 75050 and 75070 is 10.

GCF(75050,75070) = 10

We will now calculate the prime factors of 75050 and 75070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75050 and 75070.

How to find the GCF of 75050 and 75070?

We will first find the prime factorization of 75050 and 75070. After we will calculate the factors of 75050 and 75070 and find the biggest common factor number .

Step-1: Prime Factorization of 75050

Prime factors of 75050 are 2, 5, 19, 79. Prime factorization of 75050 in exponential form is:

75050 = 2¹ × 5² × 19¹ × 79¹

Step-2: Prime Factorization of 75070

Prime factors of 75070 are 2, 5, 7507. Prime factorization of 75070 in exponential form is:

75070 = 2¹ × 5¹ × 7507¹

Step-3: Factors of 75050

List of positive integer factors of 75050 that divides 75050 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 79, 95, 158, 190, 395, 475, 790, 950, 1501, 1975, 3002, 3950, 7505, 15010, 37525

Step-4: Factors of 75070

List of positive integer factors of 75070 that divides 75050 without a remainder.

1, 2, 5, 10, 7507, 15014, 37535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75050 and 75070. The biggest common factor number is the GCF number.
So the greatest common factor 75050 and 75070 is 10.

Also check out the Least Common Multiple of 75050 and 75070