What is the Greatest Common Factor of 75059 and 75070?

Greatest common factor (GCF) of 75059 and 75070 is 1.

GCF(75059,75070) = 1

We will now calculate the prime factors of 75059 and 75070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75059 and 75070.

How to find the GCF of 75059 and 75070?

We will first find the prime factorization of 75059 and 75070. After we will calculate the factors of 75059 and 75070 and find the biggest common factor number .

Step-1: Prime Factorization of 75059

Prime factors of 75059 are 47, 1597. Prime factorization of 75059 in exponential form is:

75059 = 47¹ × 1597¹

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 75059

List of positive integer factors of 75059 that divides 75059 without a remainder.

1, 47, 1597

Step-4: Factors of 75070

List of positive integer factors of 75070 that divides 75059 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75059 and 75070. The biggest common factor number is the GCF number.
So the greatest common factor 75059 and 75070 is 1.

Also check out the Least Common Multiple of 75059 and 75070