What is the Greatest Common Factor of 708 and 715?
Greatest common factor (GCF) of 708 and 715 is 1.
GCF(708,715) = 1
We will now calculate the prime factors of 708 and 715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 708 and 715.
How to find the GCF of 708 and 715?
We will first find the prime factorization of 708 and 715. After we will calculate the factors of 708 and 715 and find the biggest common factor number .
Step-1: Prime Factorization of 708
Prime factors of 708 are 2, 3, 59. Prime factorization of 708 in exponential form is:
708 = 22 × 31 × 591
Step-2: Prime Factorization of 715
Prime factors of 715 are 5, 11, 13. Prime factorization of 715 in exponential form is:
715 = 51 × 111 × 131
Step-3: Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354
Step-4: Factors of 715
List of positive integer factors of 715 that divides 708 without a remainder.
1, 5, 11, 13, 55, 65, 143
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 708 and 715. The biggest common factor number is the GCF number.
So the greatest common factor 708 and 715 is 1.
Also check out the Least Common Multiple of 708 and 715
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Related Greatest Common Factors of 715
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