What is the Greatest Common Factor of 72548 and 72562?

Greatest common factor (GCF) of 72548 and 72562 is 14.

GCF(72548,72562) = 14

We will now calculate the prime factors of 72548 and 72562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72548 and 72562.

How to find the GCF of 72548 and 72562?

We will first find the prime factorization of 72548 and 72562. After we will calculate the factors of 72548 and 72562 and find the biggest common factor number .

Step-1: Prime Factorization of 72548

Prime factors of 72548 are 2, 7, 2591. Prime factorization of 72548 in exponential form is:

72548 = 2² × 7¹ × 2591¹

Step-2: Prime Factorization of 72562

Prime factors of 72562 are 2, 7, 71, 73. Prime factorization of 72562 in exponential form is:

72562 = 2¹ × 7¹ × 71¹ × 73¹

Step-3: Factors of 72548

List of positive integer factors of 72548 that divides 72548 without a remainder.

1, 2, 4, 7, 14, 28, 2591, 5182, 10364, 18137, 36274

Step-4: Factors of 72562

List of positive integer factors of 72562 that divides 72548 without a remainder.

1, 2, 7, 14, 71, 73, 142, 146, 497, 511, 994, 1022, 5183, 10366, 36281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72548 and 72562. The biggest common factor number is the GCF number.
So the greatest common factor 72548 and 72562 is 14.

Also check out the Least Common Multiple of 72548 and 72562