What is the Greatest Common Factor of 652 and 662?
Greatest common factor (GCF) of 652 and 662 is 2.
GCF(652,662) = 2
We will now calculate the prime factors of 652 and 662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 652 and 662.
How to find the GCF of 652 and 662?
We will first find the prime factorization of 652 and 662. After we will calculate the factors of 652 and 662 and find the biggest common factor number .
Step-1: Prime Factorization of 652
Prime factors of 652 are 2, 163. Prime factorization of 652 in exponential form is:
652 = 22 × 1631
Step-2: Prime Factorization of 662
Prime factors of 662 are 2, 331. Prime factorization of 662 in exponential form is:
662 = 21 × 3311
Step-3: Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326
Step-4: Factors of 662
List of positive integer factors of 662 that divides 652 without a remainder.
1, 2, 331
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 652 and 662. The biggest common factor number is the GCF number.
So the greatest common factor 652 and 662 is 2.
Also check out the Least Common Multiple of 652 and 662
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