What is the Greatest Common Factor of 22701 and 22708?
Greatest common factor (GCF) of 22701 and 22708 is 7.
GCF(22701,22708) = 7
We will now calculate the prime factors of 22701 and 22708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22701 and 22708.
How to find the GCF of 22701 and 22708?
We will first find the prime factorization of 22701 and 22708. After we will calculate the factors of 22701 and 22708 and find the biggest common factor number .
Step-1: Prime Factorization of 22701
Prime factors of 22701 are 3, 7, 23, 47. Prime factorization of 22701 in exponential form is:
22701 = 31 × 71 × 231 × 471
Step-2: Prime Factorization of 22708
Prime factors of 22708 are 2, 7, 811. Prime factorization of 22708 in exponential form is:
22708 = 22 × 71 × 8111
Step-3: Factors of 22701
List of positive integer factors of 22701 that divides 22701 without a remainder.
1, 3, 7, 21, 23, 47, 69, 141, 161, 329, 483, 987, 1081, 3243, 7567
Step-4: Factors of 22708
List of positive integer factors of 22708 that divides 22701 without a remainder.
1, 2, 4, 7, 14, 28, 811, 1622, 3244, 5677, 11354
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 22701 and 22708. The biggest common factor number is the GCF number.
So the greatest common factor 22701 and 22708 is 7.
Also check out the Least Common Multiple of 22701 and 22708
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