What is the Greatest Common Factor of 70153 and 70164?

Greatest common factor (GCF) of 70153 and 70164 is 1.

GCF(70153,70164) = 1

We will now calculate the prime factors of 70153 and 70164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70153 and 70164.

How to find the GCF of 70153 and 70164?

We will first find the prime factorization of 70153 and 70164. After we will calculate the factors of 70153 and 70164 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 70164

Prime factors of 70164 are 2, 3, 1949. Prime factorization of 70164 in exponential form is:

70164 = 2² × 3² × 1949¹

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 70164

List of positive integer factors of 70164 that divides 70153 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1949, 3898, 5847, 7796, 11694, 17541, 23388, 35082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70153 and 70164. The biggest common factor number is the GCF number.
So the greatest common factor 70153 and 70164 is 1.

Also check out the Least Common Multiple of 70153 and 70164