What is the Greatest Common Factor of 25428 and 25446?
Greatest common factor (GCF) of 25428 and 25446 is 6.
GCF(25428,25446) = 6
We will now calculate the prime factors of 25428 and 25446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25428 and 25446.
How to find the GCF of 25428 and 25446?
We will first find the prime factorization of 25428 and 25446. After we will calculate the factors of 25428 and 25446 and find the biggest common factor number .
Step-1: Prime Factorization of 25428
Prime factors of 25428 are 2, 3, 13, 163. Prime factorization of 25428 in exponential form is:
25428 = 22 × 31 × 131 × 1631
Step-2: Prime Factorization of 25446
Prime factors of 25446 are 2, 3, 4241. Prime factorization of 25446 in exponential form is:
25446 = 21 × 31 × 42411
Step-3: Factors of 25428
List of positive integer factors of 25428 that divides 25428 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 163, 326, 489, 652, 978, 1956, 2119, 4238, 6357, 8476, 12714
Step-4: Factors of 25446
List of positive integer factors of 25446 that divides 25428 without a remainder.
1, 2, 3, 6, 4241, 8482, 12723
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25428 and 25446. The biggest common factor number is the GCF number.
So the greatest common factor 25428 and 25446 is 6.
Also check out the Least Common Multiple of 25428 and 25446
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