What is the Greatest Common Factor of 70148 and 70153?

Greatest common factor (GCF) of 70148 and 70153 is 1.

GCF(70148,70153) = 1

We will now calculate the prime factors of 70148 and 70153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70148 and 70153.

How to find the GCF of 70148 and 70153?

We will first find the prime factorization of 70148 and 70153. After we will calculate the factors of 70148 and 70153 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70153

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

70153 = 31² × 73¹

Step-3: Factors of 70148

List of positive integer factors of 70148 that divides 70148 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

Step-4: Factors of 70153

List of positive integer factors of 70153 that divides 70148 without a remainder.

1, 31, 73, 961, 2263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70148 and 70153. The biggest common factor number is the GCF number.
So the greatest common factor 70148 and 70153 is 1.

Also check out the Least Common Multiple of 70148 and 70153