What is the Greatest Common Factor of 25378 and 25398?
Greatest common factor (GCF) of 25378 and 25398 is 2.
GCF(25378,25398) = 2
We will now calculate the prime factors of 25378 and 25398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25378 and 25398.
How to find the GCF of 25378 and 25398?
We will first find the prime factorization of 25378 and 25398. After we will calculate the factors of 25378 and 25398 and find the biggest common factor number .
Step-1: Prime Factorization of 25378
Prime factors of 25378 are 2, 12689. Prime factorization of 25378 in exponential form is:
25378 = 21 × 126891
Step-2: Prime Factorization of 25398
Prime factors of 25398 are 2, 3, 17, 83. Prime factorization of 25398 in exponential form is:
25398 = 21 × 32 × 171 × 831
Step-3: Factors of 25378
List of positive integer factors of 25378 that divides 25378 without a remainder.
1, 2, 12689
Step-4: Factors of 25398
List of positive integer factors of 25398 that divides 25378 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 83, 102, 153, 166, 249, 306, 498, 747, 1411, 1494, 2822, 4233, 8466, 12699
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25378 and 25398. The biggest common factor number is the GCF number.
So the greatest common factor 25378 and 25398 is 2.
Also check out the Least Common Multiple of 25378 and 25398
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