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What is the Greatest Common Factor of 74761 and 74769?

Greatest common factor (GCF) of 74761 and 74769 is 1.

GCF(74761,74769) = 1

We will now calculate the prime factors of 74761 and 74769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74761 and 74769.

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How to find the GCF of 74761 and 74769?

We will first find the prime factorization of 74761 and 74769. After we will calculate the factors of 74761 and 74769 and find the biggest common factor number .

Step-1: Prime Factorization of 74761

Prime factors of 74761 are 74761. Prime factorization of 74761 in exponential form is:

74761 = 747611

Step-2: Prime Factorization of 74769

Prime factors of 74769 are 3, 24923. Prime factorization of 74769 in exponential form is:

74769 = 31 × 249231

Step-3: Factors of 74761

List of positive integer factors of 74761 that divides 74761 without a remainder.

1

Step-4: Factors of 74769

List of positive integer factors of 74769 that divides 74761 without a remainder.

1, 3, 24923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74761 and 74769. The biggest common factor number is the GCF number.
So the greatest common factor 74761 and 74769 is 1.

Also check out the Least Common Multiple of 74761 and 74769