What is the Greatest Common Factor of 25952 and 25972?
Greatest common factor (GCF) of 25952 and 25972 is 4.
GCF(25952,25972) = 4
We will now calculate the prime factors of 25952 and 25972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25952 and 25972.
How to find the GCF of 25952 and 25972?
We will first find the prime factorization of 25952 and 25972. After we will calculate the factors of 25952 and 25972 and find the biggest common factor number .
Step-1: Prime Factorization of 25952
Prime factors of 25952 are 2, 811. Prime factorization of 25952 in exponential form is:
25952 = 25 × 8111
Step-2: Prime Factorization of 25972
Prime factors of 25972 are 2, 43, 151. Prime factorization of 25972 in exponential form is:
25972 = 22 × 431 × 1511
Step-3: Factors of 25952
List of positive integer factors of 25952 that divides 25952 without a remainder.
1, 2, 4, 8, 16, 32, 811, 1622, 3244, 6488, 12976
Step-4: Factors of 25972
List of positive integer factors of 25972 that divides 25952 without a remainder.
1, 2, 4, 43, 86, 151, 172, 302, 604, 6493, 12986
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25952 and 25972. The biggest common factor number is the GCF number.
So the greatest common factor 25952 and 25972 is 4.
Also check out the Least Common Multiple of 25952 and 25972
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