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What is the Greatest Common Factor of 72551 and 72562?

Greatest common factor (GCF) of 72551 and 72562 is 1.

GCF(72551,72562) = 1

We will now calculate the prime factors of 72551 and 72562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72551 and 72562.

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How to find the GCF of 72551 and 72562?

We will first find the prime factorization of 72551 and 72562. After we will calculate the factors of 72551 and 72562 and find the biggest common factor number .

Step-1: Prime Factorization of 72551

Prime factors of 72551 are 72551. Prime factorization of 72551 in exponential form is:

72551 = 725511

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 72551

List of positive integer factors of 72551 that divides 72551 without a remainder.

1

Step-4: Factors of 72562

List of positive integer factors of 72562 that divides 72551 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 72551 and 72562. The biggest common factor number is the GCF number.
So the greatest common factor 72551 and 72562 is 1.

Also check out the Least Common Multiple of 72551 and 72562