What is the Greatest Common Factor of 701 and 708?
Greatest common factor (GCF) of 701 and 708 is 1.
GCF(701,708) = 1
We will now calculate the prime factors of 701 and 708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 701 and 708.
How to find the GCF of 701 and 708?
We will first find the prime factorization of 701 and 708. After we will calculate the factors of 701 and 708 and find the biggest common factor number .
Step-1: Prime Factorization of 701
Prime factors of 701 are 701. Prime factorization of 701 in exponential form is:
701 = 7011
Step-2: 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-3: Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1
Step-4: Factors of 708
List of positive integer factors of 708 that divides 701 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 701 and 708. The biggest common factor number is the GCF number.
So the greatest common factor 701 and 708 is 1.
Also check out the Least Common Multiple of 701 and 708
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Related Greatest Common Factors of 708
- GCF of 708 and 712
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