What is the Greatest Common Factor of 70129 and 70148?

Greatest common factor (GCF) of 70129 and 70148 is 19.

GCF(70129,70148) = 19

We will now calculate the prime factors of 70129 and 70148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70129 and 70148.

How to find the GCF of 70129 and 70148?

We will first find the prime factorization of 70129 and 70148. After we will calculate the factors of 70129 and 70148 and find the biggest common factor number .

Step-1: Prime Factorization of 70129

Prime factors of 70129 are 19, 3691. Prime factorization of 70129 in exponential form is:

70129 = 19¹ × 3691¹

Step-2: Prime Factorization of 70148

Prime factors of 70148 are 2, 13, 19, 71. Prime factorization of 70148 in exponential form is:

70148 = 2² × 13¹ × 19¹ × 71¹

Step-3: Factors of 70129

List of positive integer factors of 70129 that divides 70129 without a remainder.

1, 19, 3691

Step-4: Factors of 70148

List of positive integer factors of 70148 that divides 70129 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 71, 76, 142, 247, 284, 494, 923, 988, 1349, 1846, 2698, 3692, 5396, 17537, 35074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70129 and 70148. The biggest common factor number is the GCF number.
So the greatest common factor 70129 and 70148 is 19.

Also check out the Least Common Multiple of 70129 and 70148