What is the Greatest Common Factor of 70153 and 70172?

Greatest common factor (GCF) of 70153 and 70172 is 1.

GCF(70153,70172) = 1

We will now calculate the prime factors of 70153 and 70172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70153 and 70172.

How to find the GCF of 70153 and 70172?

We will first find the prime factorization of 70153 and 70172. After we will calculate the factors of 70153 and 70172 and find the biggest common factor number .

Step-1: Prime Factorization of 70153

Prime factors of 70153 are 31, 73. Prime factorization of 70153 in exponential form is:

70153 = 31² × 73¹

Step-2: Prime Factorization of 70172

Prime factors of 70172 are 2, 53, 331. Prime factorization of 70172 in exponential form is:

70172 = 2² × 53¹ × 331¹

Step-3: Factors of 70153

List of positive integer factors of 70153 that divides 70153 without a remainder.

1, 31, 73, 961, 2263

Step-4: Factors of 70172

List of positive integer factors of 70172 that divides 70153 without a remainder.

1, 2, 4, 53, 106, 212, 331, 662, 1324, 17543, 35086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70153 and 70172. The biggest common factor number is the GCF number.
So the greatest common factor 70153 and 70172 is 1.

Also check out the Least Common Multiple of 70153 and 70172